Approximate the change in the volume of a right circular cylinder of fixed radius requals21 cm when its height decreases from hequals12 cm to hequals11.9 cm (upper v left parenthesis h right parenthesis equals pi r squared h).

Using the formula for the volume of a cylinder, it is found that it decreases from 16625 cm³ to 16487 cm³, which is a change of 138 cm³.

The volume of a cylinder of radius r and height h is given by:

In this problem, the radius is of 21 cm, thus .

With a height of 12 cm, that is, , the volume, in cubic centimetres, is given by:

With a height of 11.9 cm, that is, , the volume, in cubic centimetres, is given by:

The volume decreases from 16625 cm³ to 16487 cm³.

The change is of:

A similar problem is given at link

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12